The Boolean expression Y = (A + B' + AB)C' is given by
- A. AC'
- B. BC'
- C. C'
- D. AB
Answer: C. C'
Explanation: Y = (A + B' + AB)C' = (A + B'(1+A))C' = (A + B')C' is incorrect expansion. Let's simplify inside bracket: A + B' + AB = A(1+B) + B' = A + B'. No, A + B' + AB = A + B' + B? No. A + AB + B'. A(1+B) + B' = A + B'. No, AB term is there. Let's use boolean laws: A + B' + AB = A + AB + B' = A(1+B) + B' = A + B'. This doesn't result in C'. Let's check the image logic. A + B_bar + A_bar B. A + A_bar B = A+B. So A+B+B_bar = A+1 = 1. So Y = 1.C' = C'. The expression in the image was Y = (A + B_bar + A_bar B)C_bar.